205094664 has 96 divisors (see below), whose sum is σ = 619164000. Its totient is φ = 60950016.

The previous prime is 205094651. The next prime is 205094671. The reversal of 205094664 is 466490502.

205094664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18847 + ... + 27665.

It is an arithmetic number, because the mean of its divisors is an integer number (6449625).

Almost surely, 2^205094664 is an apocalyptic number.

205094664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205094664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309582000).

205094664 is an abundant number, since it is smaller than the sum of its proper divisors (414069336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205094664 is a wasteful number, since it uses less digits than its factorization.

205094664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8867 (or 8860 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 205094664 is about 14321.1264920047. The cubic root of 205094664 is about 589.7276000030.

The spelling of 205094664 in words is "two hundred five million, ninety-four thousand, six hundred sixty-four".